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Finding the Fourth Proportional to 17,112.68, 25,671.07 and 6,580.25

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Solution

The fourth proportional to 17,112.68, 25,671.07 and 6,580.25 is: 9,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112.68 : 25,671.07 = 6,580.25 : x
  2. Step 2: Convert to fraction form
    17,112.68/25,671.07 = 6,580.25/x
  3. Step 3: Cross multiply
    17,112.68x = 25,671.07 × 6,580.25
  4. Step 4: Simplify right side
    17,112.68x = 168,922,025.47
  5. Step 5: Solve for x
    x = 168,922,025.47/17,112.68
  6. Step 6: Final answer
    x = 9,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.